A friend asked me a question on how feasible it would be to use gamma rays as an energy source. So let’s crunch some numbers: The wavelength of gamma rays is
\[\lambda=\frac{c}{f}=0.005 nm\]
Since the optimum length l for an antenna is
\[l=\frac{\lambda}{4}=0.00125 nm=1.25 pm\]
We are a bit in trouble here since the radius of the atom Sodium for instance is approximately 160 pm.
Physically it’s just not possible to build such a small antenna.